Lecture Notes
- Lecture Notes for Exam 1 (Lessons 2-10)
- Lecture Notes for Exam 2 (Lessons 11-18)
- Lecture 11:
The Chain Rule (Part II); Derivative of ln(x); Logarithmic Differentiation
- Lecture 12:
Higher Order Derivatives
- Lecture 13:
Implicit Differentiation
- Lecture 14:
Related Rates (Part I)
- Lecture 15:
Related Rates (Part II)
- Lecture 16:
Relative Extrema and Critical Numbers
- Lecture 17:
Increasing and Decreasing Functions and the First Derivative Test
- Lecture 18:
Concavity; Inflection Points and the Second Derivative Test
- Review:
Exam 2 (Lessons 11-18)
- Lecture Notes for Exam 3 (Lessons 19-28)
- Lecture 19:
Absolute Extrema on an Interval
- Lecture 20:
Graphical Interpretation of Derivatives
- Lecture 21:
Limits at Infinity
- Lecture 22:
A Summary of Curve Sketching
- Lecture 23:
Optimization (Part I)
- Lecture 24:
Optimization (Part II)
- Lecture 25:
Optimization (Part III)
- Lecture 26:
Antiderivatives and Indefinite Integration (Part I)
- Lecture 27:
Antiderivatives and Indefinite Integration (Part II)
- Lecture 28:
Area and Riemann Sums
- Review:
Exam 3 (Lessons 19-28)
- Lecture Notes for "Exam 4" (Lessons 29-35)
- Lecture 29:
Definite Integrals (Part I)
- Lecture 30:
Definite Integrals (Part II)
- Lecture 31:
The Fundamental Theorem of Calculus (Part I)
- Lecture 32:
The Fundamental Theorem of Calculus (Part II)
- Lecture 33:
Numerical Integration
- Lecture 34:
Exponential Growth
- Lecture 35:
Exponential Decay
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Extra Credit 4: solutions here when available.
-
Review: Final Exam (Lessons 2-35);
Day 1
,
Day 2
,
Day 3
Non-Examinable Material (you may safely assume none of what is below will show up on homeworks/exams):
- Lecture 4.5: Approximating Roots of Continuous Functions
- Lecture 25.5: The Point of Diminishing Returns
- Lecture 26.5: Rolle's Theorem and the Mean Value Theorem
- Lecture 30.5: Comparison of Integrals and the ML-Inequality
- Lecture 32.5: Applications of Integrals to Physics Problems (Mass, PDFs, Work, Hooke's Law)
- Lecture 35.5: Newton's Law of Cooling
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